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Revenue (Disaggregation of Revenue) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Disaggregation of Revenue [Line Items]        
Revenues $ 3,505.9 $ 3,238.3 $ 6,829.1 $ 6,315.5
Employer Services        
Disaggregation of Revenue [Line Items]        
Revenues 2,450.4 2,297.8 4,788.6 4,477.2
PEO        
Disaggregation of Revenue [Line Items]        
Revenues 1,058.2 942.4 2,046.0 1,842.2
Other        
Disaggregation of Revenue [Line Items]        
Revenues (2.7) (1.9) (5.5) (3.9)
HCM        
Disaggregation of Revenue [Line Items]        
Revenues 1,599.4 1,512.7 3,114.7 2,937.0
HCM | Employer Services        
Disaggregation of Revenue [Line Items]        
Revenues 1,599.6 1,512.5 3,116.4 2,937.8
HCM | PEO        
Disaggregation of Revenue [Line Items]        
Revenues 0.0 0.0 0.0 0.0
HCM | Other        
Disaggregation of Revenue [Line Items]        
Revenues (0.2) 0.2 (1.7) (0.8)
HRO, excluding PEO benefits pass-throughs        
Disaggregation of Revenue [Line Items]        
Revenues 614.2 542.8 1,176.7 1,051.9
HRO, excluding PEO benefits pass-throughs | Employer Services        
Disaggregation of Revenue [Line Items]        
Revenues 232.9 210.7 463.4 417.1
HRO, excluding PEO benefits pass-throughs | PEO        
Disaggregation of Revenue [Line Items]        
Revenues 383.8 334.2 717.1 637.9
HRO, excluding PEO benefits pass-throughs | Other        
Disaggregation of Revenue [Line Items]        
Revenues (2.5) (2.1) (3.8) (3.1)
PEO Benefits Pass-throughs        
Disaggregation of Revenue [Line Items]        
Revenues 673.2 607.1 1,326.6 1,202.3
PEO Benefits Pass-throughs | Employer Services        
Disaggregation of Revenue [Line Items]        
Revenues 0.0 0.0 0.0 0.0
PEO Benefits Pass-throughs | PEO        
Disaggregation of Revenue [Line Items]        
Revenues 673.2 607.1 1,326.6 1,202.3
PEO Benefits Pass-throughs | Other        
Disaggregation of Revenue [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Global        
Disaggregation of Revenue [Line Items]        
Revenues 490.0 469.0 963.5 918.2
Global | Employer Services        
Disaggregation of Revenue [Line Items]        
Revenues 490.0 469.0 963.5 918.2
Global | PEO        
Disaggregation of Revenue [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Global | Other        
Disaggregation of Revenue [Line Items]        
Revenues 0.0 0.0 0.0 0.0
Client Fund Interest        
Disaggregation of Revenue [Line Items]        
Revenues 129.1 106.7 247.6 206.1
Client Fund Interest | Employer Services        
Disaggregation of Revenue [Line Items]        
Revenues 127.9 105.6 245.3 204.1
Client Fund Interest | PEO        
Disaggregation of Revenue [Line Items]        
Revenues 1.2 1.1 2.3 2.0
Client Fund Interest | Other        
Disaggregation of Revenue [Line Items]        
Revenues $ 0.0 $ 0.0 $ 0.0 $ 0.0